For the data given in worksheet in Data assume a model of the form: E(y) = 0 + 1
ID: 3394415 • Letter: F
Question
For the data given in worksheet in Data assume a model of the form:
E(y) = 0 + 1x1 + 2x2 + 3x1x2
a. Determine the least-squares multiple regression line.
b. What is the estimate of the standard deviation of the random error component () for this model and data?
c, Do you conclude that y increases with x1? Report the observed significance level and reach a conclusion using alpha = 0.1.
d. Find and interpret a 90% confidence interval for 2.
e, Test the overall adequacy of the model using alpha = 0.1.
Y X1 X2 89.03236 30 19 130.4042 12 14 87.9923 12 11 207.9163 26 24 -56.6401 13 21 56.57781 16 17 1.522022 10 18 91.73975 15 19 172.9361 11 22 120.2948 25 22 50.73581 14 18 14.29185 14 14 191.971 22 24 31.23741 26 12 69.05102 14 15 101.9909 29 12 138.7399 25 23 64.41616 25 21 122.376 25 17 101.5934 30 11 18.49827 13 18 207.3928 22 24 60.78054 24 18 40.37243 10 21 31.18508 24 23 34.13282 12 15 161.8371 13 23 91.60923 27 19 151.8898 22 15 247.7102 29 24 168.9257 28 16 166.1627 27 17 125.8478 20 12 85.46347 23 22 176.2598 23 18 54.28692 18 22 132.4236 23 19 21.07365 17 18 96.8385 18 22 109.6417 24 15 149.4218 17 17 141.5386 27 25 91.33342 10 22 110.9759 23 14 150.6213 28 22 188.2563 18 18 29.86331 15 21 64.51805 27 22 136.9559 27 17Explanation / Answer
For the data given in worksheet in Data assume a model of the form: E(y) = 0 + 1